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Dimas [21]
4 years ago
11

Find an explicit formula for the arithmetic sequence 12, 5, -2, -9,...

Mathematics
1 answer:
Vadim26 [7]4 years ago
4 0

Answer:

an = 12 -7(n-1)

an = 19-7n

Step-by-step explanation:

The explicit formula for an arithmetic sequence is

an = a1 +d(n-1) where a1 is the first term and d is the common difference

a1 =12

We find d by taking the second term and subtracting the first term

d = 5-12

d = -7

an = 12 -7(n-1)

We can simplify this

an = 12 -7n+7

an = 19-7n

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Step-by-step explanation:

3 0
2 years ago
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2x+75=-75-2x can you help me ​
poizon [28]

Answer:

x = -50

Step-by-step explanation:

2x+75=75-2x | Given

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6 0
3 years ago
*Pop Quiz*
PtichkaEL [24]

Answer:

The father is 59

Step-by-step explanation:

lets say each of the kids are twelve

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we know the mother is 4 years younger than the father so to state off you can take 114 and divide it by two to get what half of it is then take take numbers that are four apart to find the ages that add up to 114.

7 0
3 years ago
Can someone help me make sense of the problem. Provide an explanation and answer if at all possible
Verizon [17]

Answer:

  1.728×10¹⁵

Step-by-step explanation:

You may recall from 3rd grade that multiplying by 10 adds a zero to the right of a number (moves the decimal point 1 place to the right).

An exponent is used to signify repeated multiplication. These facts together are used to translate to/from scientific notation.

  10 = 1 × 10

  100 = 1 × 10 × 10 = 1 × 10²

__

Continuing in like fashion, 5.4×10⁸ represents 5.4 × (1 followed by 8 zeros).

Similarly, 3.2×10⁶ = 3.2 × (1 followed by 6 zeros)

The product will be ...

  (5.4×10⁸)×(3.2×10⁶) = (5.4×3.2) × (1 followed by 8+6 = 14 zeros)

  = 17.28 × 10¹⁴

  = (1.728 × 10) × 10¹⁴ . . . moving the decimal point so there's 1 digit to its left

Adding that extra zero into the count we already have, this becomes ...

  = 1.728×10¹⁵

_____

<em>Additional comment</em>

Your scientific or graphing calculator will have a mode for showing numbers in scientific notation. You can enter these numbers directly into your calculator and have it show you the result in scientific notation.

Or, you can use a spreadsheet with appropriate output cell formatting.

4 0
2 years ago
Read 2 more answers
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Xelga [282]
Sorry but i only know the answer to number 3
<span>
A rational number is a number that can be written as a fraction where numerator and denominator are both integers (and the denominator is not zero). Since 0.57 = 57/100, so the number 0.57 can be written as a fraction where the numerator (57) and denominator (100) are both integers. </span>
3 0
4 years ago
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